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10 Aug 2009 13:35:03 IST

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2 balls of same mass are shot upwards one after other at an interval of 2s , along the same vertical

Kinematics , NewtonsLawsCirMotion , Work Power Energy collisions , Rotation , Gravitation , Simple Harmonic Motion , Fluid Mechanics , Materials Wave Sound , Super Position , units dimensions , com momentum , shm , wave sound

2 balls of same mass are shot upwards one after other at an interval of 2s , along the same vertical line with the same intial velocity of 39.2 m/s . They will collide at the height ?

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Soumen Goswami

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Joined: 10 Apr 2007

Posts: 1777

12 Aug 2009 22:15:44 IST

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For the first particle, the y coordinate (measured from the projection point is) y₁ = ut + (1/2)gt² and for the second particle it is y₂ = u(t-2) + (1/2)g(t-2)

When they collide, y₁ = y₂ . Solve this equation to get the value of t and substitute in any of the equations to get the height

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